{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,29]],"date-time":"2022-03-29T19:15:17Z","timestamp":1648581317486},"reference-count":2,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Wavelets Multiresolut Inf. Process."],"published-print":{"date-parts":[[2010,7]]},"abstract":"<jats:p> This paper is concerned with an input-output relation of linear systems when using the complex wavelet packet transform. In general, the linear relation between input-output is guaranteed by the following two conditions: (1) the mother wavelet has a better frequency resolution, and (2) the real and imaginary parts in the mother wavelet consist of a Hilbert transform pair. The complex wavelet satisfying the above conditions has been used for demonstrating the linear relation. In this paper, a complex wavelet packet transform is applied for improving the frequency resolution. The validity of our approach is shown through a numerical experiment. <\/jats:p>","DOI":"10.1142\/s0219691310003626","type":"journal-article","created":{"date-parts":[[2010,8,3]],"date-time":"2010-08-03T06:25:28Z","timestamp":1280816728000},"page":"521-535","source":"Crossref","is-referenced-by-count":4,"title":["INPUT-OUTPUT RELATION OF LINEAR SYSTEMS BY USING COMPLEX WAVELET PACKET TRANSFORM"],"prefix":"10.1142","volume":"08","author":[{"given":"MASAAKI","family":"OSAKE","sequence":"first","affiliation":[{"name":"Department of Electronic Engineering, The University of Electro-Communications, 1-5-1 Chofu-ga-oka, Chofu, Tokyo 182-8585, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"KAZUSHI","family":"NAKANO","sequence":"additional","affiliation":[{"name":"Department of Electronic Engineering, The University of Electro-Communications, 1-5-1 Chofu-ga-oka, Chofu, Tokyo 182-8585, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"TETSUYA","family":"TABARU","sequence":"additional","affiliation":[{"name":"Product Development Department, Technology Development Headquarters, Yamatake Corporation, 1-12-2 Kawana, Fujisawa, Kanagawa 251-8522, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"SEIICHI","family":"SHIN","sequence":"additional","affiliation":[{"name":"Department of Systems Engineering, The University of Electro-Communications, 1-5-1 Chofu-ga-oka, Chofu, Tokyo 182-8585, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.9746\/sicetr1965.36.481"},{"key":"rf5","first-page":"155","volume":"12","author":"Toda H.","journal-title":"J. Signal Process."}],"container-title":["International Journal of Wavelets, Multiresolution and Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219691310003626","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T23:17:04Z","timestamp":1565133424000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219691310003626"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,7]]},"references-count":2,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[2010,7]]}},"alternative-id":["10.1142\/S0219691310003626"],"URL":"https:\/\/doi.org\/10.1142\/s0219691310003626","relation":{},"ISSN":["0219-6913","1793-690X"],"issn-type":[{"value":"0219-6913","type":"print"},{"value":"1793-690X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,7]]}}}